163632 has 40 divisors (see below), whose sum is σ = 484096. Its totient is φ = 46656.

The previous prime is 163627. The next prime is 163633. The reversal of 163632 is 236361.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 163599 and 163608.

It is not an unprimeable number, because it can be changed into a prime (163633) by changing a digit.

163632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 579.

2¹⁶³⁶³² is an apocalyptic number.

163632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242048).

163632 is an abundant number, since it is smaller than the sum of its proper divisors (320464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163632 is a wasteful number, since it uses less digits than its factorization.

163632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 163632 is about 404.5145238431. The cubic root of 163632 is about 54.6960645634.

Adding to 163632 its reverse (236361), we get a palindrome (399993).

The spelling of 163632 in words is "one hundred sixty-three thousand, six hundred thirty-two".